An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy

Chunyi Wang, Fengzhang Luo (), Zheng Jiao, Xiaolei Zhang, Zhipeng Lu, Yanshuo Wang, Ren Zhao and Yang Yang
Additional contact information
Chunyi Wang: State Grid Shandong Electric Power Company, Jinan 250001, China
Fengzhang Luo: Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China
Zheng Jiao: Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China
Xiaolei Zhang: State Grid Shandong Electric Power Company, Jinan 250001, China
Zhipeng Lu: State Grid Shandong Electric Power Company, Jinan 250001, China
Yanshuo Wang: Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China
Ren Zhao: Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China
Yang Yang: Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China

Energies, 2022, vol. 15, issue 23, 1-19

Abstract: In order to adjust to the change of the large-scale deployment of photovoltaic (PV) power generation and fully exploit the potentialities of an integrated energy distribution system (IEDS) in solar energy accommodation, an evaluation method on maximum hosting capacity of solar energy in IEDS based on convex relaxation optimization algorithm is proposed in this paper. Firstly, an evaluation model of maximum hosting capacity of solar energy for IEDS considering the electrical-thermal comprehensive utilization of solar energy is proposed, in which the maximization of PV capacity and solar collector (SC) capacity are fully considered. Secondly, IEDS’s potential in electricity, heat, and gas energy coordinated optimization is fully exploited to enhance the hosting capacity of solar energy in which the electric distribution network, heating network, and natural gas network constraints are fully modeled. Then, an enhanced second-order cone programming (SOCP)-based method is employed to solve the proposed maximum hosting capacity model. Through SOCP relaxation and linearization, the original nonconvex nonlinear programming model is converted into the mixed-integer second-order cone programming model. Meanwhile, to ensure the exactness of SOCP relaxation and improve the computation efficiency, increasingly tight linear cuts of distribution system and natural gas system are added to the SOCP relaxation. Finally, an example is given to verify the effectiveness of the proposed method. The analysis results show that the maximum hosting capacity of solar energy can be improved significantly by realizing the coordination of an integrated multi-energy system and the optimal utilization of electricity, heat, and gas energy. By applying SOCP relaxation, linearization, and adding increasingly tight linear cuts of distribution system and natural gas system to the SOCP relaxation, the proposed model can be solved accurately and efficiently.

Keywords: solar energy; maximum hosting capacity; integrated energy distribution system; enhanced second-order cone programming (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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